Title :
The asymptotic stability of nonlinear (Lur´e) systems with multiple slope restrictions
Author :
Park, PooGyeon ; Banjerdpongchai, David ; Kailath, Thomas
Author_Institution :
Dept. of Electron. & Electr. Eng., Pohang Inst. of Sci. & Technol., South Korea
fDate :
7/1/1998 12:00:00 AM
Abstract :
The authors present the analysis of the asymptotic stability of multiple slope-restricted nonlinear (Lur´e) systems. By providing a Lyapunov function, they obtain a matrix-language criterion in terms of algebraic Riccati equations and linear matrix inequalities, which are discussed at the point of computational issues. Additionally, they consider the frequency-domain interpretation of the result
Keywords :
Lyapunov methods; Riccati equations; asymptotic stability; frequency-domain analysis; matrix algebra; nonlinear systems; Lure systems; Lyapunov function; algebraic Riccati equations; asymptotic stability; frequency-domain analysis; linear matrix inequality; multiple slope restrictions; nonlinear systems; Asymptotic stability; Frequency domain analysis; Linear matrix inequalities; Lyapunov method; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Riccati equations; Sufficient conditions; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
